Abstract
A system of renewal equations on a graph provides a framework to describe the exploitation of a biological resource. In this context, we formulate an optimal control problem, prove the existence of an optimal control and ensure that the target cost function is differentiablewith respect to the control. A numerical integration illustrates qualitative properties of the whole structure.
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Garavello, M. Optimal control in renewable resources modeling. Bull Braz Math Soc, New Series 47, 347–357 (2016). https://doi.org/10.1007/s00574-016-0143-0
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DOI: https://doi.org/10.1007/s00574-016-0143-0